Fabrication and assembly scheduling in a two-machine flowshop

Miao-Tsong Lin, T. C E Cheng*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


This paper considers a fabrication scheduling problem to minimize the makespan in a two-machine flowshop. Each job has a unique component and a common component to be processed on the first machine. On machine 1, the common components of the jobs are grouped into batches for processing with a setup cost incurred whenever a batch is formed. A job is ready for its assembly operation on the second machine if both its unique and common components are finished on machine 1. The problems with batch availability and item availability are known as NP-hard. In this paper, we give proofs for the strong NP-hardness of the two problems. The results suggest that it is very unlikely to develop polynomial- or pseudo-polynomial-time algorithm for finding exact solutions for the two problems.

Original languageEnglish
Pages (from-to)1015-1020
Number of pages6
JournalIIE Transactions (Institute of Industrial Engineers)
Issue number11
StatePublished - Nov 2002


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